Euler's Criterion

Euler's Criterion is a number-theoretic theorem that determines whether an integer is a quadratic residue modulo a prime by stating that an integer \( a \) is a quadratic residue modulo an odd prime \( p \) if and only if \( a^{(p-1)/2} \equiv 1 \pmod{p} \).

12

Publications

539

Citations

14

Authors

7

Institutions

Publications per year

2017–2026

0

Authors

14

  1. ES
    Ennio Stacchetti

    University of Michigan, United States

    2 publications · 236 citations

    2

    h-index

  2. RM
    Raphael M. Robinson

    University of California, Berkeley, United States

    2 publications · 86 citations

    2

    h-index

  3. CP
    Christopher Phelan

    Federal Reserve Bank of Minneapolis, United States

    2 publications · 236 citations

    2

    h-index

  4. KH
    Kh. Hessami Pilehrood

    Dalhousie University, Canada

    1 publications · 10 citations

    1

    h-index

  5. KG
    Kenneth G. Powell

    University of Michigan, United States

    1 publications · 10 citations

    1

    h-index

1–5 of 14

Venues

  1. Proceedings of the American Mathematical Society

    PROC · 2 publications · 86 citations

    2

    h-index

  2. Journal of Number Theory

    1 publications · 10 citations

    1

    h-index

  3. Pacific Journal of Mathematics

    1 publications · 36 citations

    1

    h-index

  4. Journal of Aircraft

    1 publications · 35 citations

    1

    h-index

  5. Acta Arithmetica

    1 publications · 30 citations

    1

    h-index

1–5